Higher order topological derivatives in elasticity

DOI10.1016/j.ijsolstr.2010.07.004zbMath1203.74019OpenAlexW2065227027MaRDI QIDQ619925

Mariana Silva, Daniel A. Tortorelli, Moshe Matalon

Publication date: 19 January 2011

Published in: International Journal of Solids and Structures (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.ijsolstr.2010.07.004

zbMATH Keywords

asymptotic analysishigher order topological derivativehole nucleation

Mathematics Subject Classification ID

Classical linear elasticity (74B05) Analytic approximation of solutions (perturbation methods, asymptotic methods, series, etc.) of equilibrium problems in solid mechanics (74G10)

Related Items (4)

Energy release rate approximation for small surface-breaking cracks using the topological derivative ⋮ Inverse acoustic scattering using high-order small-inclusion expansion of misfit function ⋮ Topological sensitivity derivative with respect to area, shape and orientation of an elliptic hole in a plate ⋮ Topological derivatives of shape functionals. part III: second-order method and applications

Uses Software

• ABAQUS

Cites Work

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• Second order topological sensitivity analysis
• A one-shot inpainting algorithm based on the topological asymptotic analysis
• Modelling of topological derivatives for contact problems
• On the Topological Derivative in Shape Optimization
• Topological derivative for the inverse scattering of elastic waves
• A new method in inverse scattering based on the topological derivative

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